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Finding the Fourth Proportional to 229,824.80, 344,737.20 and 155,175.20

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Solution

The fourth proportional to 229,824.80, 344,737.20 and 155,175.20 is: 232,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,824.80 : 344,737.20 = 155,175.20 : x
  2. Step 2: Convert to fraction form
    229,824.80/344,737.20 = 155,175.20/x
  3. Step 3: Cross multiply
    229,824.80x = 344,737.20 × 155,175.20
  4. Step 4: Simplify right side
    229,824.80x = 53,494,663,957.44
  5. Step 5: Solve for x
    x = 53,494,663,957.44/229,824.80
  6. Step 6: Final answer
    x = 232,762.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.